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204751080 = 233252332441
BaseRepresentation
bin11000011010001…
…00000011101000
3112021021102200100
430031010003220
5404404013310
632152305400
75034232632
oct1415040350
9467242610
10204751080
11a5638576
12586a2260
133355b9b1
141d29ba52
1512e96ec0
hexc3440e8

204751080 has 96 divisors (see below), whose sum is σ = 668570760. Its totient is φ = 54343680.

The previous prime is 204751067. The next prime is 204751103. The reversal of 204751080 is 80157402.

It can be written as a sum of positive squares in 4 ways, for example, as 87721956 + 117029124 = 9366^2 + 10818^2 .

It is a super-2 number, since 2×2047510802 = 83846009522332800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82660 + ... + 85100.

Almost surely, 2204751080 is an apocalyptic number.

204751080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204751080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334285380).

204751080 is an abundant number, since it is smaller than the sum of its proper divisors (463819680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204751080 is a wasteful number, since it uses less digits than its factorization.

204751080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 204751080 is about 14309.1257594585. The cubic root of 204751080 is about 589.3981030188.

The spelling of 204751080 in words is "two hundred four million, seven hundred fifty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 233 360 466 699 932 1165 1398 1864 2097 2330 2441 2796 3495 4194 4660 4882 5592 6990 7323 8388 9320 9764 10485 12205 13980 14646 16776 19528 20970 21969 24410 27960 29292 36615 41940 43938 48820 58584 73230 83880 87876 97640 109845 146460 175752 219690 292920 439380 568753 878760 1137506 1706259 2275012 2843765 3412518 4550024 5118777 5687530 6825036 8531295 10237554 11375060 13650072 17062590 20475108 22750120 25593885 34125180 40950216 51187770 68250360 102375540 204751080